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Finding the Fourth Proportional to 17,740.75, 24,481.12 and 9,783.04

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Solution

The fourth proportional to 17,740.75, 24,481.12 and 9,783.04 is: 13,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.75 : 24,481.12 = 9,783.04 : x
  2. Step 2: Convert to fraction form
    17,740.75/24,481.12 = 9,783.04/x
  3. Step 3: Cross multiply
    17,740.75x = 24,481.12 × 9,783.04
  4. Step 4: Simplify right side
    17,740.75x = 239,499,776.20
  5. Step 5: Solve for x
    x = 239,499,776.20/17,740.75
  6. Step 6: Final answer
    x = 13,499.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.